Hi

f(x)=2x^2+20x+52 =2x^2+20x + 50  -50 +52 = 2(x+5)^2 - 50 + 52 = 2(x+5)^2 + 2 ,  V(-5,2)

the vertex form of a Parabola opening up(a>0) or down(a<0):  

where(h,k) is the vertex  

 

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